66563596800 has 1200 divisors, whose sum is σ = 270144019200. Its totient is φ = 16124313600.

The previous prime is 66563596787. The next prime is 66563596811. The reversal of 66563596800 is 869536566.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 610675146 + ... + 610675254.

It is an arithmetic number, because the mean of its divisors is an integer number (225120016).

Almost surely, 2^66563596800 is an apocalyptic number.

66563596800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66563596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135072009600).

66563596800 is an abundant number, since it is smaller than the sum of its proper divisors (203580422400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66563596800 is a wasteful number, since it uses less digits than its factorization.

66563596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 66563596800 in words is "sixty-six billion, five hundred sixty-three million, five hundred ninety-six thousand, eight hundred".